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Finding the Third Proportional to 56,600 and 86,196

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Solution

The third proportional to 56,600 and 86,196 is: 131,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,600 : 86,196 = 86,196 : x
  2. Step 2: Convert to fraction form
    56,600/86,196 = 86,196/x
  3. Step 3: Cross multiply
    56,600x = 86,196 × 86,196
  4. Step 4: Simplify right side
    56,600x = 7,429,750,416
  5. Step 5: Solve for x
    x = 7,429,750,416/56,600
  6. Step 6: Final answer
    x = 131,267.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.